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Finding the Fourth Proportional to 366.40, 552.64 and 342.40

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Solution

The fourth proportional to 366.40, 552.64 and 342.40 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 552.64 = 342.40 : x
  2. Step 2: Convert to fraction form
    366.40/552.64 = 342.40/x
  3. Step 3: Cross multiply
    366.40x = 552.64 × 342.40
  4. Step 4: Simplify right side
    366.40x = 189,223.94
  5. Step 5: Solve for x
    x = 189,223.94/366.40
  6. Step 6: Final answer
    x = 516.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.